Point vortex approximation for 2D Navier--Stokes equations driven by space-time white noise

Abstract

We show that the system of point vortices, perturbed by a certain transport type noise, converges weakly to the vorticity form of 2D Navier--Stokes equations driven by the space-time white noise.

arXiv comment18 pages. arXiv admin note: text overlap with arXiv:1806.09332

References in corpus (4)

• Uniqueness of solutions of the stochastic Navier-Stokes equation with invariant measure given by the enstrophy
• Strong-Feller property for Navier-Stokes equations driven by space-time white noise
• Kolmogorov equations associated to the stochastic 2D Euler equations
• Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure